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Finding the Third Proportional to 143,906 and 217,866

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Solution

The third proportional to 143,906 and 217,866 is: 329,837.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,906 : 217,866 = 217,866 : x
  2. Step 2: Convert to fraction form
    143,906/217,866 = 217,866/x
  3. Step 3: Cross multiply
    143,906x = 217,866 × 217,866
  4. Step 4: Simplify right side
    143,906x = 47,465,593,956
  5. Step 5: Solve for x
    x = 47,465,593,956/143,906
  6. Step 6: Final answer
    x = 329,837.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.